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Finding the Fourth Proportional to 196.86, 271.64 and 147.64

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Solution

The fourth proportional to 196.86, 271.64 and 147.64 is: 203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.86 : 271.64 = 147.64 : x
  2. Step 2: Convert to fraction form
    196.86/271.64 = 147.64/x
  3. Step 3: Cross multiply
    196.86x = 271.64 × 147.64
  4. Step 4: Simplify right side
    196.86x = 40,104.93
  5. Step 5: Solve for x
    x = 40,104.93/196.86
  6. Step 6: Final answer
    x = 203.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.